Search a number
-
+
1133301022321 = 13253449281797
BaseRepresentation
bin10000011111011110000…
…000010011111001110001
311000100020200210222102211
4100133132000103321301
5122032000030203241
62224344210012121
7144610153514116
oct20373600237161
94010220728384
101133301022321
113a76a2977a46
12163784277041
1382b4001cb00
143cbd00b690d
151e72e2d0781
hex107de013e71

1133301022321 has 24 divisors (see below), whose sum is σ = 1253127526200. Its totient is φ = 1024096260096.

The previous prime is 1133301022307. The next prime is 1133301022333. The reversal of 1133301022321 is 1232201033311.

It can be written as a sum of positive squares in 12 ways, for example, as 456077362225 + 677223660096 = 675335^2 + 822936^2 .

It is not a de Polignac number, because 1133301022321 - 211 = 1133301020273 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1133301022292 and 1133301022301.

It is not an unprimeable number, because it can be changed into a prime (1133301022621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3880795 + ... + 4162591.

It is an arithmetic number, because the mean of its divisors is an integer number (52213646925).

Almost surely, 21133301022321 is an apocalyptic number.

It is an amenable number.

1133301022321 is a deficient number, since it is larger than the sum of its proper divisors (119826503879).

1133301022321 is a wasteful number, since it uses less digits than its factorization.

1133301022321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282325 (or 282312 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1133301022321 its reverse (1232201033311), we get a palindrome (2365502055632).

The spelling of 1133301022321 in words is "one trillion, one hundred thirty-three billion, three hundred one million, twenty-two thousand, three hundred twenty-one".

Divisors: 1 13 53 169 449 689 5837 8957 23797 75881 281797 309361 3663361 4021693 14935241 47623693 126526853 194158133 1644849089 2524055729 6705923209 21383038157 87177001717 1133301022321